whats 35 divided my 68

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Answer:

360°

Step-by-step explanation:

The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.

The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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Answer:

72.1 hours

Step-by-step explanation:

Let the number of hours be represented as: x

Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.

Convert 2 7/8 pounds to decimal = 2.875pounds

Hence:

252 - 2.875x

Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.

Convert 3 1/3 pounds to decimal = 3.333 pounds

Hence:

285 - 3.333x

How many hours until they have the same amount of fruit left?

This calculated by equating both equation together

252 - 2.875x = 285 - 3.333x

Collect like terms

-2.875x + 3.333x = 285 - 252

0.458x = 33

x = 33 / 0.458

x = 72.052401747 hours

x ≈ 72.1 hours

They would have the same amount of fruit left after 72.1 hours

The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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Answer:

3d(5-4cd)

Step-by-step explanation:

15d - 12cd²  (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)

= 3 (5d - 4cd²)      (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)

= 3d(5-4cd)

When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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Null hypothesis (H0): The mean wait time for emergency room patients is equal to or less than 38 minutes (H0: μ ≤ 38).
Alternative hypothesis (Ha): The mean wait time for emergency room patients is more than 38 minutes (Ha: μ > 38).

The null hypothesis, denoted as H0, is a statement that assumes there is no significant difference or relationship between variables in a statistical analysis. In this case, the null hypothesis is that the mean wait time for emergency room patients is equal to or less than 38 minutes, represented as H0: μ ≤ 38.
On the other hand, the alternative hypothesis, denoted as Ha or H1, is a statement that contradicts or opposes the null hypothesis. It suggests that there is a significant difference or relationship between variables. In this scenario, the alternative hypothesis is that the mean wait time for emergency room patients is more than 38 minutes, represented as Ha: μ > 38.
To summarize:
- Null hypothesis (H0): The mean wait time for emergency room patients is equal to or less than 38 minutes (H0: μ ≤ 38).
- Alternative hypothesis (Ha): The mean wait time for emergency room patients is more than 38 minutes (Ha: μ > 38).
In hypothesis testing, we collect data to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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The employees represented by the information are employees between under 16 years and adults, and the salaries of these workers

The given parameter is the table of values

From the given table of values, we have the following four columns or fields:

Remove the items in brackets

Under the classification column, we have the fields under 16 years to adult.

The other columns represent the salaries of the workers

Hence, the employees represented by the information are employees between under 16 years and adults, and the salaries of these workers

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To compute the correlation between two ordinal-level variables, you should use Spearman's rank correlation coefficient.

Spearman's rank correlation coefficient is a non-parametric statistical measure that is used to assess the association between two ordinal-level (ordinal or ranked) variables.

This type of correlation calculates the correlation between the ranks of the data rather than the actual values, making it suitable for ordinal data where the difference between the levels is not well defined.

The coefficient ranges from -1 to 1, where a value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation.

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Thus, Brian's average speed for the whole journey from Ashton to Oldham is 34.29 mph.

Average, also known as mean, is a measure of central tendency in statistics that represents the typical value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing the sum by the total number of values in the set. For example, if you want to

Given by the question.

To calculate the average speed of Brian's whole journey, we need to use the formula:

average speed = total distance ÷ total time

We know the distance between Ashton and Lees is 12 miles, and we also know the speed at which Brian drove this part of the journey: 40 mph. Using the formula:

time taken = distance ÷ speed

we can calculate that it took Brian:

time taken from Ashton to Lees = 12 miles ÷ 40 mph = 0.3 hours

We also know the distance between Lees and Oldham is 12 miles, and the speed at which Brian drove this part of the journey: 30 mph. Again using the formula:

time taken from Lees to Oldham = 12 miles ÷ 30 mph = 0.4 hours

So, the total distance Brian covered from Ashton to Oldham is:

total distance = distance from Ashton to Lees + distance from Lees to Oldham

total distance = 12 miles + 12 miles = 24 miles

The total time Brian spent on the journey is:

total time = time taken from Ashton to Lees + time taken from Lees to Oldham

total time = 0.3 hours + 0.4 hours = 0.7 hours

Now we can use the formula for average speed:

average speed = total distance ÷ total time

average speed = 24 miles ÷ 0.7 hours

average speed = 34.29 mph

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Since the mode is the most frequently occurring data value so -

Option D : None of the alternatives is correct.

What is mode?

A mode is described as the value in a group of values that occurs more frequently. The value that appears the most frequently is called mode.

The distribution of the mean, median, and mode values will depend on how skewed the distribution is.

The total dependency of mean, median and mode of data is on the asymmetric form of the data.

As a result, mean or mode may be larger than or less than mode.

Therefore, the mode is neither large than mean or median and can never be larger than mean.

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Answer:

\(option \: (b) \: is \: ur \: answer \: to \: the \: question \: \)

\(to \: know \: the \: answer \: with \: proof\)

\(refer \: to \: the \: above \: attatchment\)

\(f = \frac{rn}{1 - r} \)

\(\huge \tt༆ Answer ༄\)

The required expression is ~ B

\( \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }\)

Refer to the attachment for Solution ~

Answer:x + 3y = 5

3y = -x + 5

y = -(1/3)x + 5/3

slope = -1/3     Parallel lines have the same slope.

Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.

y - y1 = m(x - x1)

y - 4 = (-1/3)(x + 2)

y - 4 = (-1/3)x - 2/3

y = (-1/3)x + 3 1/3   Slope-intercept Form

(1/3)x + y = 10/3     Multiply both sides by 3.

x + 3y = 10    Standard form

Hope this helps and don't yell at me in the comments if I am wrong

plz mark me brainliest  if I am correct

Answer:

The correct answer is y= -x/3 + 14/3 and x + 3y = 14.

9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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Answer:

Answer:

Option C is correct.

Explanation:

Explicit formula for the geometric sequence is given by:

where r is the common ratio term.

Given the recursive formula for geometric sequence:

For n =2

⇒

For n =3

⇒

Common ratio(r):

and so on..

⇒ r = 3

Therefore, the explicit formula for the geometric sequence represented by the recursive formula is:

Step-by-step explanation:

Answer:

A=122

Step-by-step explanation:

The sum of degree of angles in a triangle=180

Angle a =180-43-15=122

Since angle B is the largest angle, Line segment A C is the longest side. option  C

To complete the statement, we need to know that;

Using the sine rule of a triangle, we can know that the sin value of an angle will be directly related to the length of the side it's facing.

Angle B is the largest angle out of the three. The sin value of an angle will be larger if the angle is larger (from 0 to 90). Sin 75 is 0.97, sin 60 is 0.87, and sin 45 is 0.71

That means the largest angle will have the largest sin value. The largest sin value means the side will be the longest side.

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The complete question:

Choose the word that correctly completes the statement. Triangle A B C is shown. Angle A C B is 45 degrees, angle C B A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side.

adjacent

included

longest

shortest

The line of best-fit is of:

\(y = 21.37x + 169.58\)

Using the line:

------------------------

The line of best fit, for the amount spent on football in x years after 2005 is given by:

\(y = mx + b\)

\(m = \frac{\sum_{i = 1}^{6} (x_i - \overline{x})(y_i - \overline{y})}{\sum_{i = 1}^{6} (x_i - \overline{x})^2}\)

The means are:

\(\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5\)

\(\overline{y} = \frac{177 + 192 + 207 + 227 + 243 + 292}{6} = 223\)

Finding the slope:

\(\sum_{i = 1}^{6} (x_i - \overline{x})(y_i - \overline{y}) = 374\)

\({\sum_{i = 1}^{6} (x_i - \overline{x})^2} = 17.5\)

\(m = \frac{\sum_{i = 1}^{6} (x_i - \overline{x})(y_i - \overline{y})}{\sum_{i = 1}^{6} (x_i - \overline{x})^2} = \frac{374}{17.5} = 21.37\)

Now finding b:

\(y = 21.37x + b\)

Replacing the means:

\(223 = 21.37(2.5) + b\)

\(b = 169.58\)

Thus, the line of best fit is:

\(y(x) = 21.37x + 169.58\)

2022 is 2022 - 2005 = 17 years after 2005, thus, the estimate for 2022 is of:

\(y(17) = 21.37(17) + 169.58 = 532.87\)

Following the same logic, the estimate for 2041 is of:

\(y(36) = 21.37(36) + 169.58 = 938.9\)

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Radius is the distance in a straight line from the centre of the circle to its circumference. The diameter is twice the radius. Therefore,  radius and diameter of the circle are 7 and 14 yards respectively.

The above figure is a circle. The area of the circle is given as 49π yard squared. The question want us to find the radius and diameter of the circle.

Hence,

area of a circle = πr²

where

Therefore,

area of the circle = 49π

Hence,

49π = π × r²

divide both sides by π

r² = 49

square root both sides

r = √49

r = 7 yards

The diameter of a circle is twice the radius.

Hence,

diameter of the circle = 7 × 2 = 14 yards

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The triangles BCD, ACD, and ABC are similar because their corresponding angles are congruent. This similarity allows us to apply the Pythagorean theorem to establish the relationship between the sides of the right triangle, proving its validity.

To prove that triangles BCD, ACD, and ABC are similar, we need to compare their angle measures. Let's analyze the angles in each triangle:

Triangle ABC:

- Angle BAC: This is a right angle as it represents the right angle of the right triangle.

Triangle BCD:

- Angle BCD: This angle is also a right angle as the altitude from vertex C forms a perpendicular line with side BC.

- Angle CBD: This angle is congruent to angle BAC in triangle ABC. Both angles are corresponding angles and are congruent due to the definition of perpendicular lines.

Triangle ACD:

- Angle ACD: This angle is a right angle, formed by the altitude from vertex C intersecting side AD.

- Angle CAD: This angle is congruent to angle BAC in triangle ABC. They are corresponding angles and are congruent due to the definition of perpendicular lines.

Based on the analysis of the angles, we can conclude that triangles BCD and ACD are both right triangles and have congruent angles to triangle ABC. Therefore, by the Angle-Angle (AA) similarity postulate, we can say that triangles BCD and ACD are similar to triangle ABC.

The similarity of these triangles implies that their corresponding sides are proportional. In this case, we have the following corresponding sides:

BC : AC = BD : AD = CD : CD (which is equal to 1)

The proportionality of these sides allows us to apply the Pythagorean theorem to any of the triangles.

By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In triangle ABC, we have:

\(AB^2 + BC^2 = AC^2\)

Since triangles BCD and ACD are similar to triangle ABC, we can use the same equation to represent the sides of these triangles:

\(BD^2 + CD^2 = BC^2\)

\(AD^2 + CD^2 = AC^2\)

Therefore, by proving the similarity of triangles BCD and ACD to triangle ABC, we have established the validity of the Pythagorean theorem within the context of the given right triangle ABC.

In conclusion, the three triangles BCD, ACD, and ABC are similar, and this similarity allows us to apply the Pythagorean theorem to establish the relationship between the sides of the right triangle. This proof demonstrates the validity of the Pythagorean theorem in the context of the given triangle.

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c = pi/2, and the value of c > 1 such that the average value of f(x) on the interval [2, 20] is equal to c is c = pi/2.

The average value of a function f(x) on the interval [a, b] is given by:

Avg = 1/(b-a) * ∫[a, b] f(x) dx

We want to find a value of c > 1 such that the average value of the function \(f(x) = (9pi/x^2)cos(pi/x)\) on the interval [2, 20] is equal to c.

First, we find the integral of f(x) on the interval [2, 20]:

\(∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

We can use u-substitution with u = pi/x, which gives us:

-9pi * ∫[pi/20, pi/2] cos(u) du

Evaluating this integral gives us:

\(-9pi * sin(u) |_pi/20^pi/2 = 9pi\)

Therefore, the average value of f(x) on the interval [2, 20] is:

\(Avg = 1/(20-2) * ∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

= 1/18 * 9pi

= pi/2

Now we set c = pi/2 and solve for x:

Avg = c

\(pi/2 = 1/(20-2) * ∫[2, 20] (9pi/x^2)cos(pi/x) dx\)

pi/2 = 1/18 * 9pi

pi/2 = pi/2

Therefore, c = pi/2, and the value of c > 1 such that the average value of f(x) on the interval [2, 20] is equal to c is c = pi/2.

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Answer: 5/13

Step-by-step explanation: i did this IXL and got it right

graph b matches the equation

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{a}{15}\) = \(\frac{1}{2}\) ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

The rate of growth to the nearest percentage is 55%. The result is obtained by using the exponential growth equation.

An exponential growth equation is an equation to express the process where the quantity increases over time. The equation of exponential growth can be expressed as

y = a × (1 + r)ˣ

Where

We have the function: \(f(t) = 570(1.55)^{60t}\). It represents the change in a quantity over t minutes. Find the rate of growth!

Base on the exponential growth equation, we get

y = f(x)

\(a \times (1 + r)^{x} = 570(1.55)^{60t}\)

1 + r = 1.55

r = 1.55 - 1

r = 0.55

r = 55/100

r = 55%

Hence, the percentage of growth rate for the function is 55%.

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( 31.2u + 0.2 v ) is expression represents the perimeter of rectangle .

What is rectangle short answer?

length of rectangle = ( 7.2u + 9.9v)

width of rectangle = ( 8.4u - 9.8v)

perimeter of rectangle = 2( l + b )

                                        = 2 (  7.2u + 9.9v + 8.4u - 9.8v )

                                         = 2 ( 7.2u + 8.4u + 9.9v - 9.8v )

                                        = 2 ( 15.6u + 0.1v )

                                        =  ( 31.2u + 0.2 v )

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Answer: The location is (8.88, -1.84)

Step-by-step explanation:

We know that the school is on the line:

x + 7*y  = -4

or we can rewrite this as:

x = -4 - 7*y

Then, the points on this line can be written as:

(-4 - 7*y, y).

Then we can assume that the school is located at the point:

(-4 - 7*a, a)

and we need to find the value of a.

Now, we have two towns in the points:

A = (2, - 2)

B = (8, 5)

The distance between two points (a, b) and (c, d) is:

D = √( (a- c)^2 + (b - d)^2)

And we want that the school to be equidistant between the two cities, then if the distance to the citie A is:

Da = √( (2 + 4 + 7*a)^2 + (-2 - a)^2)

And the distance to the city B is:

Db = √( (8 + 4 + 7*a)^2 + (5 - a)^2)

Then we must have that:

Da = Db

√( (2 + 4 + 7*a)^2 + (-2 - a)^2) = √( (8 + 4 + 7*a)^2 + (5 - a)^2)

then:

(2 + 4 + 7*a)^2 + (-2 - a)^2 =  (8 + 4 + 7*a)^2 + (5 - a)^2

Let's solve this for a.

(6 + 7*a)^2 + (-2 - a)^2 =  (12 + 7*a)^2 + (5 - a)^2

36 + 84*a + 49*a^2 + 4 + 4*a + a^2 = 144 + 168*a + 49*a^2 + 25 - 10*a + a^2

let's simplify this:

36 + 84*a + 4 + 4*a = 144 + 168*a + 25 - 10*a

-129 = 70*a

-129/70 = a = -1.84

Then the location of the school is:

y = -1.84

x = -4 - 7*-1.84 = 8.88  

(8.88, -1.84)